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Recognizing powers in nilpotent groups and nilpotent images of free groups
Published online by Cambridge University Press: 09 April 2009
Abstract
An element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if an element in a finitely generated torsion-free nilpotent group is a proper power.
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- Copyright © Australian Mathematical Society 2007
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